355867668864 has 128 divisors (see below), whose sum is σ = 1051345008000. Its totient is φ = 118504972800.

The previous prime is 355867668733. The next prime is 355867668869. The reversal of 355867668864 is 468866768553.

355867668864 is a `hidden beast` number, since 3 + 558 + 6 + 7 + 6 + 6 + 8 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 355867668792 and 355867668801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355867668869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3471139 + ... + 3572189.

It is an arithmetic number, because the mean of its divisors is an integer number (8213632875).

Almost surely, 2^355867668864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355867668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525672504000).

355867668864 is an abundant number, since it is smaller than the sum of its proper divisors (695477339136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

355867668864 is a wasteful number, since it uses less digits than its factorization.

355867668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102093 (or 102075 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 355867668864 in words is "three hundred fifty-five billion, eight hundred sixty-seven million, six hundred sixty-eight thousand, eight hundred sixty-four".